Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Dic₃

Direct product G=N×Q with N=C₂² and Q=C₂×Dic₃

		d	ρ	Label	ID
C₂³×Dic₃		96		C2^3xDic3	96,218

Semidirect products G=N:Q with N=C₂² and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×Dic₃) = C₂×A₄⋊C₄	φ: C₂×Dic₃/C₂² → S₃ ⊆ Aut C₂²	24		C2^2:(C2xDic3)	96,194
C₂²⋊₂(C₂×Dic₃) = D₄×Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:2(C2xDic3)	96,141
C₂²⋊₃(C₂×Dic₃) = C₂×C₆.D₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₂²	48		C2^2:3(C2xDic3)	96,159

Non-split extensions G=N.Q with N=C₂² and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×Dic₃) = D₄.Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(C2xDic3)	96,155
C₂².₂(C₂×Dic₃) = C₁₂.D₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.2(C2xDic3)	96,40
C₂².₃(C₂×Dic₃) = C₂³.₇D₆	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.3(C2xDic3)	96,41
C₂².₄(C₂×Dic₃) = C₁₂.₁₀D₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₂²	48	4	C2^2.4(C2xDic3)	96,43
C₂².₅(C₂×Dic₃) = C₂³.₂₆D₆	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₂²	48		C2^2.5(C2xDic3)	96,133
C₂².₆(C₂×Dic₃) = C₄×C₃⋊C₈	central extension (φ=1)	96		C2^2.6(C2xDic3)	96,9
C₂².₇(C₂×Dic₃) = C₄².S₃	central extension (φ=1)	96		C2^2.7(C2xDic3)	96,10
C₂².₈(C₂×Dic₃) = C₁₂⋊C₈	central extension (φ=1)	96		C2^2.8(C2xDic3)	96,11
C₂².₉(C₂×Dic₃) = C₁₂.₅₅D₄	central extension (φ=1)	48		C2^2.9(C2xDic3)	96,37
C₂².₁₀(C₂×Dic₃) = C₆.C₄²	central extension (φ=1)	96		C2^2.10(C2xDic3)	96,38
C₂².₁₁(C₂×Dic₃) = C₂²×C₃⋊C₈	central extension (φ=1)	96		C2^2.11(C2xDic3)	96,127
C₂².₁₂(C₂×Dic₃) = C₂×C₄.Dic₃	central extension (φ=1)	48		C2^2.12(C2xDic3)	96,128
C₂².₁₃(C₂×Dic₃) = C₂×C₄×Dic₃	central extension (φ=1)	96		C2^2.13(C2xDic3)	96,129
C₂².₁₄(C₂×Dic₃) = C₂×C₄⋊Dic₃	central extension (φ=1)	96		C2^2.14(C2xDic3)	96,132

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